Bmo-space for non-absolute integrable functions
Filomat, Tome 37 (2023) no. 7, p. 2041

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The functions with bounded mean oscillation (BMO) have been shown to be immense interest in several areas of analysis and probability. We introduce BMO-type space BMO HK (R n) for non-absolute integrable functions. Various properties and completion of BMO HK (R n) are included. Relations between the classical BMO space and BMO HK (R n) are investigated.
DOI : 10.2298/FIL2307041K
Classification : 26A39, 28B05, 46G10, 46E30, 43A15
Keywords: BMO-space, Completeness, Dense embedding, Translation invaiant
Hemanta Kalita; Bipan Hazarika. Bmo-space for non-absolute integrable functions. Filomat, Tome 37 (2023) no. 7, p. 2041 . doi: 10.2298/FIL2307041K
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     author = {Hemanta Kalita and Bipan Hazarika},
     title = {Bmo-space for non-absolute integrable functions},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2307041K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307041K/}
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